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Finding the Third Proportional to 683,110.13 and 1,002,516.75

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Solution

The third proportional to 683,110.13 and 1,002,516.75 is: 1,471,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,110.13 : 1,002,516.75 = 1,002,516.75 : x
  2. Step 2: Convert to fraction form
    683,110.13/1,002,516.75 = 1,002,516.75/x
  3. Step 3: Cross multiply
    683,110.13x = 1,002,516.75 × 1,002,516.75
  4. Step 4: Simplify right side
    683,110.13x = 1,005,039,834,030.56
  5. Step 5: Solve for x
    x = 1,005,039,834,030.56/683,110.13
  6. Step 6: Final answer
    x = 1,471,270.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.